COURSE TITLE:

Mathematics with Calculus

COURSE DESCRIPTION:

This course is for students who plan to continue on to do Level 3 Calculus. Algebra is important to describe how functions behave. Manipulation of algebraic terms, solving equations, and graphing functions provide the basis to the study of Coordinate Geometry, Graphing, Calculus and Trigonometry. Some Probability completes the course. Where possible you will be applying these ideas in context, but some aspects of the course simply provide skills necessary for future studies. Graphical models for trigonometric functions will be introduced in the algebra teaching period which will build foundation knowledge required for Level 3 Calculus – not all of this material will be assessed at Level 2.

WHAT WILL I LEARN?

More complex algebraic skills which build on Level 1 material

More complex trigonometry skills which build on Level 1 material

Basic differentiation and integration principles (calculus)

Basic probability theory

WHAT SHOULD I HAVE DONE ALREADY?

Entry requirements for this course are 14 credits in a Level 1 Mathematics and Statistics course which MUST include a minimum of a merit grade in 1.2: Algebra and also a minimum merit grade in 1.6: Geometric reasoning.

All entries to the course are at the discretion of the head of learning area - if you do not meet the entry requirements you can state your case for entry.

ASSESSMENT OUTLINE:

Standard
Number

Title

Credit Value

Internal / External

UE Literacy R/W

2.1 (91256)

Apply coordinate geometry methods in solving problems

2

Internal

-

2.4 (91259)

Apply trigonometric relationships in solving problems

3

Internal

-

2.6 (91261)

Apply algebraic methods in solving problems

4

External

-

2.7 (91262)

Apply calculus methods in solving problems

5

External

-

2.12 (91267)

Apply probability methods in solving problems

4

External

-

2.14 (91269)

Apply systems of equations in solving problems

2

Internal

-

TOTAL CREDITS AVAILABLE

20

ASSESSMENT REGULATIONS:

You will be assessed by Level 2 Mathematics and Statistics achievement standards, with credits contributing towards the National Certificate of Educational Achievement (NCEA). There are a maximum of 20 Level 2 credits available. This course is eligible for a subject endorsement. Three of the achievement standards for the Level 2 Calculus course will be assessed internally during the year. The three externals will be assessed in November.

There will be NO reassessment opportunity for the internally assessed standards for students who do not achieve the standard in the first attempt. If you cannot attend an assessment because of illness, you must produce a medical certificate upon your return to school and you will be expected to complete the internal assessment on the day of your return to school.

Practice tests and examinations will be conducted during the year for the external standard. The results from these practice assessments will count towards any compassionate consideration. See the NCEA Student Handbook for more details.

MISSED INTERNAL ASSESSMENTS

Students who do not attend the internally assessed standards for reasons other than medical or bereavement will not be given a reassessment opportunity. If you have a genuine reason (which must be supported by a medical certificate) for not being able to complete the assessment on the day of the assessment, then you are able to apply for an extension. This should occur prior to the assessment date, not after. Approach your subject teacher and make your case. Read the NCEA Student Handbook for more detail.

AUTHENTICITY AND APPEALS

These issues are dealt with by the college's assessment procedures. Read your NCEA Student Handbook for details.

WHERE DOES THIS COURSE LEAD?

High performers will move on to L3MWC. Others will have the option to move into L3MAS. On rare occasions, high performing students may be granted entrance into L3MWS at the discretion of the head of learning area and this would need to relate to their university plans.

INDICATIVE COSTS:

None though a graphics calculator is recommended for the normal distribution and the algebra standards.